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Finding the Fourth Proportional to 46,640.75, 69,968.04 and 15,040.42

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Solution

The fourth proportional to 46,640.75, 69,968.04 and 15,040.42 is: 22,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640.75 : 69,968.04 = 15,040.42 : x
  2. Step 2: Convert to fraction form
    46,640.75/69,968.04 = 15,040.42/x
  3. Step 3: Cross multiply
    46,640.75x = 69,968.04 × 15,040.42
  4. Step 4: Simplify right side
    46,640.75x = 1,052,348,632.97
  5. Step 5: Solve for x
    x = 1,052,348,632.97/46,640.75
  6. Step 6: Final answer
    x = 22,562.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.